Series: Exponents & Logarithms

Ideal lesson if you need to quickly learn how t...

09/25/2009

~ brittanie

The first part of the lesson is dedicated to defining some basic terminology: properties of power or exponents, and what is and what isn't an exponential equation.

Then the author solves problems. She solves 5 exponential equations with the same base, 20 exponential equations with different bases, 6 exponential equations with two solutions, 2 exponential equations using a linear system of equations, 2 exponential equations using factoring and finally, she reviews each section with 6 more example equations.

A great lesson for anyone who needs to see examples of how to solve exponential equations vs. just reading them from a book.

Below are the descriptions for each of the lessons included in the series:

• Exponents & Logs: Solve Exponential Equations 400

  This 76 minute exponents & logarithms lesson focuses on solving equations with variables as exponents, for example 9^(2x+1) = 81^4 times 27^x:

  This lesson will show you how to solve exponential equations:
  - with the same bases
  - with different bases
  - with two solutions
  - using a system of linear equations
  - by factoring

  This lesson contains explanations of the concepts and 35 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 115 The 5 Basic Exponent Laws (http://www.mindbites.com/lesson/5061)
  - 165 The Zero Negative & Rational Exponent (http://www.mindbites.com/lesson/5069)
  - 205 Solving Systems of Linear Equations (http://www.mindbites.com/lesson/5083)
  - 230 Solving Quadratic Equations by Factoring (http://www.mindbites.com/lesson/5087)

• Exponents & Logs: Graphing Functions 405

  This 64 minute exponents & logarithms lesson studies the graphs of the exponential function and the inverse of the exponential function, which is the logarithm:

  This lesson will show you how to:
  - graph exponential functions and summarize the characteristics of the graphs
  - find the inverse of the exponential function
  - graph logarithmic functions and summarize the characteristics of the graphs
  - understand the x and y intercepts, an asymptote, domain & range, growth and decay functions, and the reflection property

  Sample question: Given the exponential function y = 2^x, write its inverse in exponential form On the same grid, draw the graphs of y = 2^x and its inverse x = 2^y. Show the line of reflection y = x

  This lesson contains explanations of the concepts and 13 example questions with step by step solutions plus 3 interactive review questions with solutions.

  Lesson that will help you with the fundamentals of this lesson:
  - 400 Solving Exponential Equations (http://www.mindbites.com/lesson/5082)

• Exponents & Logs: Working With Logarithms 410

  This 67 minute exponents & logarithms lesson begins with the relationship between exponents and logarithms and focuses on solving for an unknown in a logarithmic equation and learning to evaluate logarithms with different bases:

  This lesson will show you how to:
  - change from exponential form to logarithmic form
  - change from logarithmic form to exponential form
  - identify and use a common log
  - identify and use a natural log (ln, base e)
  - solve for unknowns in a logarithmic equation
  - evaluate logarithms, for example log base 7(49 cube root 7) + log base 27(3^3 times 81 ^1/2)
  - find the number positi0n and the base position

  This lesson contains explanations of the concepts and 32 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 115 The 5 Basic Exponent Laws (http://www.mindbites.com/lesson/5061)
  - 165 The Zero Negative & Rational Exponent (http://www.mindbites.com/lesson/5069)
  - 205 Solving Systems of Linear Equations (http://www.mindbites.com/lesson/5083)
  - 400 Solving Exponential Equations (http://www.mindbites.com/lesson/5082)
  - 405 Graphing Exponential & Logarithmic Functions (http://www.mindbites.com/lesson/5081)

• Exponents & Logs: Laws For Logarithms 415

  This 59 minute exponents & logarithms lesson will show you how to use the three main laws for Logarithms:
  - the product law for logarithms
  - the quotient law for logarithms
  - the power law for logarithms
  This lesson will also show how the Laws for Logarithms correspond to the laws for exponents.

  This lesson contains explanations of the concepts and 21 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 115 The 5 Basic Exponent Laws (http://www.mindbites.com/lesson/5061)
  - 165 The Zero Negative & Rational Exponent (http://www.mindbites.com/lesson/5069)
  - 400 Solving Exponential Equations (http://www.mindbites.com/lesson/5082)
  - 405 Graphing Exponential & Logarithmic Functions (http://www.mindbites.com/lesson/5081)
  - 410 Working with Logarithms (http://www.mindbites.com/lesson/5078)

• Exponents & Logs: Using Logarithm Laws 420

  This 84 minute exponents & logarithms lesson will show you how to solve many different types of logarithmic equations using the Laws for Logarithms (product, quotient & power) and a combination of the laws. For example, you'll learn how to solve for x and verify: log(3x + 2) + log(x – 1) = 2

  This lesson contains explanations of the concepts and 17 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 115 The 5 Basic Exponent Laws (http://www.mindbites.com/lesson/5061)
  - 165 The Zero Negative & Rational Exponent (http://www.mindbites.com/lesson/5069)
  - 230 Solving Quadratic Equations by Factoring (http://www.mindbites.com/lesson/5087)
  - 235 Solving Quadratic Equations Using the Quadratic Formula (http://www.mindbites.com/lesson/5084)
  - 400 Solving Exponential Equations (http://www.mindbites.com/lesson/5082)
  - 405 Graphing Exponential & Logarithmic Functions (http://www.mindbites.com/lesson/5081)
  - 410 Working with Logarithms (http://www.mindbites.com/lesson/5078)
  - 415 The Laws for Logarithms (http://www.mindbites.com/lesson/5080)

• Exponents & Logs: Change of Base Rule 425

  This 61 minute exponents & logarithms lesson will show you how to:
  - use the change of base rule to evaluate logarithms with any base
  - solve exponential equations using the Change of Base Rule
  - solve logarithmic equations using the Change of Base Rule

  This lesson contains explanations of the concepts and 23 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson:
  - 400 Solving Exponential Equations (http://www.mindbites.com/lesson/5082)
  - 405 Graphing Exponential & Logarithmic Functions (http://www.mindbites.com/lesson/5081)
  - 410 Working with Logarithms (http://www.mindbites.com/lesson/5078)
  - 415 The Laws for Logarithms (http://www.mindbites.com/lesson/5080)
  - 420 Solving Equations Using the Laws for Logarithms (http://www.mindbites.com/lesson/5079)

Supplementary Files:

• Once you purchase this series you will have access to these files: